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Find out the number of ways in which 5 prizes can be distributed among 5 students such that
(a) Each student may get a prize.
(b) There is no restriction to the number of prizes a student gets. (8)
Ans : (a) Number of ways in which 5 prizes can be distributed between 5 students in such a way that each one may acquire a prize is 5*4*3*2*1 = 5! ways.
(b) While no restriction on the number of prizes a student may get, after that a student may get either 0 or 1 or 2 or...upto 5 prizes. It depicts that a student have six possible ways in which it may get a prize. Hence the number of ways in which prizes can be distributed is 65.
The student council bought two various kinds of candy for the school fair. They purchased 40 pounds of candy at $2.15 per pound and x pounds at $1.90 per pound. What is the total n
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The mathematics results of 20 first-year university students are given, together with their results of their performances in the year 12 semester Test and Final Assignment:
Before we find into finding series solutions to differential equations we require determining when we can get series solutions to differential equations. Therefore, let's start wit
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